Title : ( Decomposition of the nonabelian tensor product of lie algebras via the diagonal ideal )
Authors: P. Niroomand , Farangis Johari , Mohsen Parvizi , F. G. Russo ,
Full TextAbstract
We prove a theorem of splitting for the nonabelian tensor product \(L \otimes N\) of a pair (L, N) of Lie algebras L and N in terms of its diagonal ideal \(L \square N\) and of the nonabelian exterior product \(L \wedge N\) . A similar circumstance was described few years ago in the special case \(N=L\) . The interest is due to the fact that the size of \(L \square N\) influences strongly the structure of \(L \otimes N\) .
Keywords
, Lie algebras, Schur multiplier, Homology, Nonabelian tensor product
@article{paperid:1066932,
author = {P. Niroomand and Johari, Farangis and Parvizi, Mohsen and F. G. Russo},
title = {Decomposition of the nonabelian tensor product of lie algebras via the diagonal ideal},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
year = {2015},
month = {January},
issn = {0126-6705},
pages = {1--10},
numpages = {9},
keywords = {Lie algebras; Schur multiplier; Homology; Nonabelian tensor product},
}
%0 Journal Article
%T Decomposition of the nonabelian tensor product of lie algebras via the diagonal ideal
%A P. Niroomand
%A Johari, Farangis
%A Parvizi, Mohsen
%A F. G. Russo
%J Bulletin of the Malaysian Mathematical Sciences Society
%@ 0126-6705
%D 2015
